# Factors of 1350 in pair

Factors of 1350 in pair are (1, 1350) , (2, 675) , (3, 450) , (5, 270) , (6, 225) , (9, 150) , (10, 135) , (15, 90) , (18, 75) , (25, 54) , (27, 50) and (30, 45)

#### How to find factors of a number in pair

 1.   Steps to find factors of 1350 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 1350 in pair

Factor Pair Pair Factorization
1 and 1350 1 x 1350 = 1350
2 and 675 2 x 675 = 1350
3 and 450 3 x 450 = 1350
5 and 270 5 x 270 = 1350
6 and 225 6 x 225 = 1350
9 and 150 9 x 150 = 1350
10 and 135 10 x 135 = 1350
15 and 90 15 x 90 = 1350
18 and 75 18 x 75 = 1350
25 and 54 25 x 54 = 1350
27 and 50 27 x 50 = 1350
30 and 45 30 x 45 = 1350

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 1350. They are called negative pair factors.

Hence, the negative pairs of 1350 would be ( -1 , -1350 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 1350 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 25 , 27 , 30 , 45 , 50 , 54 , 75 , 90 , 135 , 150 , 225 , 270 , 450 , 675 , 1350. So, factors of 1350 in pair are (1,1350), (2,675), (3,450), (5,270), (6,225), (9,150), (10,135), (15,90), (18,75), (25,54), (27,50), (30,45).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 1350 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350 are exact divisors of 1350.
• 1 is a factor of every number. Eg. 1 is a factor of 1350.
• Every number is a factor of zero (0), since 1350 x 0 = 0.

#### Steps to find Factors of 1350

• Step 1. Find all the numbers that would divide 1350 without leaving any remainder. Starting with the number 1 upto 675 (half of 1350). The number 1 and the number itself are always factors of the given number.
1350 ÷ 1 : Remainder = 0
1350 ÷ 2 : Remainder = 0
1350 ÷ 3 : Remainder = 0
1350 ÷ 5 : Remainder = 0
1350 ÷ 6 : Remainder = 0
1350 ÷ 9 : Remainder = 0
1350 ÷ 10 : Remainder = 0
1350 ÷ 15 : Remainder = 0
1350 ÷ 18 : Remainder = 0
1350 ÷ 25 : Remainder = 0
1350 ÷ 27 : Remainder = 0
1350 ÷ 30 : Remainder = 0
1350 ÷ 45 : Remainder = 0
1350 ÷ 50 : Remainder = 0
1350 ÷ 54 : Remainder = 0
1350 ÷ 75 : Remainder = 0
1350 ÷ 90 : Remainder = 0
1350 ÷ 135 : Remainder = 0
1350 ÷ 150 : Remainder = 0
1350 ÷ 225 : Remainder = 0
1350 ÷ 270 : Remainder = 0
1350 ÷ 450 : Remainder = 0
1350 ÷ 675 : Remainder = 0
1350 ÷ 1350 : Remainder = 0

Hence, Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, and 1350

#### Frequently Asked Questions

• Is 1350 a composite number?

Yes 1350 is a composite number.

• Is 1350 a prime number?

No 1350 is not a prime number.

• What is the mean of factors of 1350?

Factors of 1350 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 25 , 27 , 30 , 45 , 50 , 54 , 75 , 90 , 135 , 150 , 225 , 270 , 450 , 675 , 1350. therefore mean of factors of 1350 is (1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 27 + 30 + 45 + 50 + 54 + 75 + 90 + 135 + 150 + 225 + 270 + 450 + 675 + 1350) / 24 = 155.00.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Can you help Rubel in arranging 1350 blocks in order to form a rectangle in all possible ways? For arranging 1350 blocks in order to form a rectangle in all possible ways we need to find factors of 1350 in pair.

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. So, factors of 1350 in pair are (1,1350), (2,675), (3,450), (5,270), (6,225), (9,150), (10,135), (15,90), (18,75), (25,54), (27,50), (30,45).

Ariel has been asked to write all factor pairs of 1350 but she is finding it difficult. Can you help her find out?

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. So, factors of 1350 in pair are (1,1350), (2,675), (3,450), (5,270), (6,225), (9,150), (10,135), (15,90), (18,75), (25,54), (27,50), (30,45).

How many total number of factors of 1350 in pair are possible?

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. Hence, the factors of 1350 in pair are (1,1350), (2,675), (3,450), (5,270), (6,225), (9,150), (10,135), (15,90), (18,75), (25,54), (27,50), (30,45). Therefore, in total 12 pairs of factors are possible.

Sammy wants to write all the negative factors of 1350 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1350 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -27, -30, -45, -50, -54, -75, -90, -135, -150, -225, -270, -450, -675, -1350. Hence, factors of 1350 in pair are (-1,-1350), (-2,-675), (-3,-450), (-5,-270), (-6,-225), (-9,-150), (-10,-135), (-15,-90), (-18,-75), (-25,-54), (-27,-50), (-30,-45).

Help Deep in writing the positive factors of 1350 in pair and negative factor of 1350 in pair.

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. Positive factors of 1350 in pair are (1,1350), (2,675), (3,450), (5,270), (6,225), (9,150), (10,135), (15,90), (18,75), (25,54), (27,50), (30,45). Negative factors of 1350 in pair are (-1,-1350), (-2,-675), (-3,-450), (-5,-270), (-6,-225), (-9,-150), (-10,-135), (-15,-90), (-18,-75), (-25,-54), (-27,-50), (-30,-45).

Find the product of all factors of 1350.

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. So the product of all factors of 1350 would be 1 x 2 x 3 x 5 x 6 x 9 x 10 x 15 x 18 x 25 x 27 x 30 x 45 x 50 x 54 x 75 x 90 x 135 x 150 x 225 x 270 x 450 x 675 x 1350 = 3.664419807055642e+37.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1350.
- Writing all prime factors of 1350.
- Writing all the possible factors of 1350 in pair.
Help him in writing all these.

Positive factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.
Prime factors of 1350 are 2, 3, 3, 3, 5, 5.
Factors of 1350 in pair are (1,1350), (2,675), (3,450), (5,270), (6,225), (9,150), (10,135), (15,90), (18,75), (25,54), (27,50), (30,45).

Can you help Sammy list the factors of 1350 and also find the factor pairs?

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.
Factors of 1350 in pair are (1,1350), (2,675), (3,450), (5,270), (6,225), (9,150), (10,135), (15,90), (18,75), (25,54), (27,50), (30,45).

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